Approximation of coupled Stokes-Darcy flow in an axisymmetric domain

DOI10.1016/j.cma.2013.02.004zbMath1286.76144OpenAlexW2032957511MaRDI QIDQ2449905

Vincent J. Ervin

Publication date: 13 May 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2013.02.004

zbMATH Keywords

axisymmetric flowStokes equationDarcy equationcoupled fluid flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (16)

A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition ⋮ Low-order Raviart-Thomas approximations of axisymmetric Darcy flow ⋮ A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations ⋮ A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids ⋮ Adaptive partitioned methods for the time-accurate approximation of the evolutionary Stokes-Darcy system ⋮ Analysis of a new adaptive time filter algorithm for the unsteady Stokes/Darcy model ⋮ An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions ⋮ A poroelastic fluid–structure interaction model of syringomyelia ⋮ Mixed methods for a stream-function -- vorticity formulation of the axisymmetric Brinkman equations ⋮ The macroelement analysis for axisymmetric Stokes equations ⋮ Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters ⋮ Approximation of the axisymmetric elasticity equations ⋮ Numerical simulations of fluid pressure in the human eye ⋮ A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport ⋮ A second order partitioned method with grad-div stabilization for the non-stationary dual-porosity-Stokes model ⋮ Stabilized mixed approximation of axisymmetric Brinkman flows

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